Least Common Multiple of 7697/864, 5192/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7697/864, 5192/432 quickly i.e. 39962824/432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7697/864, 5192/432 is 39962824/432.

LCM(7697/864, 5192/432) = 39962824/432

LCM of 7697/864, 5192/432

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7697/864,5192/432

Given numbers are 7697/864,5192/432

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7697,5192

Least Common Multiple of Numerators i.e. LCM of 7697,5192 is 39962824.

GCF of Denominators means GCF of 864,432 as per the given fractions.

GCF of 864,432 is 432 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7697,5192

LCM of Fractions 7697/864,5192/432 is 39962824/432

Given numbers has no common factors except 1. So, there LCM is their product i.e 39962824

Least Common Multiple of 7697,5192 with GCF Formula

Least Common Multiple of 7697,5192 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7697,5192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7697,5192) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7697,5192) x common factors =1 x 1 = 1

LCM(7697,5192) = ( 7697 × 5192 ) / 1

LCM(7697,5192) = 39962824 / 1

LCM(7697,5192) = 39962824


Lets's calculate GCF of 864,432

2 864, 432
2 432, 216
2 108, 216
2 54, 108
3 27, 54
3 9, 18
3 3, 6
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 = 432

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39962824/432

Therefore the LCM of Fractions 7697/864,5192/432 is 39962824/432

Greatest Common Factor of 864,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,432 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 864,432 . The biggest common factor number is the GCF number.
So the greatest common factor 864,432 is 432.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7697/864, 5192/432

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7697/864, 5192/432?

Answer: LCM of Numerators as per given numbers 7697/864, 5192/432 is

LCM of Numerators i.e. for 7697,5192 is 39962824

GCF of denominators i.e. for 864,432 is 432.

Thus, LCM of Fractions is 39962824/432.Finally, LCM of Fractions for 7697/864, 5192/432 is 39962824/432.